On the spectral radius of the product of matrix exponentials

Elliott H. Lieb

Research output: Contribution to journalArticle

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Abstract

Cohen, Friedland, Kato, and Kelly conjectured that F(t)≡log r(eAteBt) is convex for real t when A is nonnegative and B is diagonal; here r is the spectral radius. While the conjecture is correct for dimension n=1 or 2, it is shown here to be false for n≥3. Similarly t → logTrace(eAteBt)k need not be convex when n≥3.

Original languageEnglish (US)
Pages (from-to)271-273
Number of pages3
JournalLinear Algebra and Its Applications
Volume141
Issue numberC
DOIs
StatePublished - Nov 1990

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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